Exemplo 8
From Matemática
Revision as of 11:49, 2 November 2012 by Paula.oliveira (Talk | contribs)
Considere as funções definidas por: $$\displaystyle f(x)=\sqrt{\frac{2x-4}{-x^2+3x}} \hspace{0.3cm}\mbox{ e }\hspace{0.3cm} g(x)=3- \sqrt{x+1}.$$ (a) Determine os domínios das funções $f$ e $g$.
(b) Calcule os zeros de $f$ e $g$ e determine, caso existam, $f(0)$ e $g(0)$.
(c) Indique o contradomínio de $g$.
(d) Indique os domínios e as expressões analíticas de:
(i) $f+g$; (ii) $\displaystyle \frac{f}{g}$
